Title: A discrete packing model of granular material confined in a vertical column

Authors: Qinghai Jiang; Kai Wu; Yu Sun; Xin Xie; Zhengyu Yang

Addresses: School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China ' School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China ' School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing, China ' Department of Electrical and Computer Engineering, Northeastern University, Boston, MA 02115, USA ' Department of Electrical and Computer Engineering, Northeastern University, Boston, MA 02115, USA

Abstract: In this paper, we analysed the transmission rules of interparticle forces between granular particles, based on which, we then proposed a discrete packing model to calculate the static pressure at the bottom of granular material confined in a vertical column. Our mechanical analysis and numerical simulation results indicate that the silo effect is caused by the frictional contacts between border particles and inner walls, the static pressure at the bottom depends on the external load initially, and then tends to a saturation pressure (Pn) in an exponential form. The saturation pressure is positive linear related to the container radius (R) with the same granular matter and stacking manner. The saturation pressure is directly proportional to the particle size (ra), and the increasing or decreasing characteristic depends on the frictional property of inner walls, the friction and stacking angle of grains. Finally, we compared the predictions of the aforementioned model with the experimental results from the literature, and we observed that good agreement is achieved.

Keywords: granular material; discrete packing model; silo effect.

DOI: 10.1504/IJCSM.2020.106696

International Journal of Computing Science and Mathematics, 2020 Vol.11 No.3, pp.240 - 252

Received: 23 Aug 2017
Accepted: 23 Oct 2017

Published online: 06 Apr 2020 *

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